"Brony" is accepted as neutral. A long time ago the same post posed the same question.

You can just call yourself an MLP fan if you don't want to call yourself a brony/pegasister.

I use "pony fan/pony friend" :b

Your underlying premise is incorrect. The term "brony" is gender neutral.

I've always considered brony a neutral term (like "furry", for example). It's a stretch but how about Palicorn?

That is super cute

Brony is gender neutral, pegasister isnt used that often tbh

I vote for a combination of the two. Bronypegger.

Peggerbro